What is 7/(2sqrt(3)-\sqrt{2)} ?

The solution to 7/(2sqrt(3)-\sqrt{2)} is (14sqrt(3)+7sqrt(2))/(10)

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simplify 7/(2sqrt(3)-\sqrt{2)}

simplify

\frac{7}{2 3 - 2}

\frac{14 3 + 7 2}{10}

Solution steps

\frac{7}{2 3 - 2}

Multiply by the conjugate

\frac{2 3 + 2}{2 3 + 2}

= \frac{7 ( 2 3 + 2 )}{( 2 3 - 2 ) ( 2 3 + 2 )}

Expand

7 (23 + 2) : 143 + 72

Expand

(23 - 2) (23 + 2) : 10

= \frac{14 3 + 7 2}{10}

(- 9.7)^{2} + (- 2.45)^{2}

(\frac{1 + 5}{2})^{4}

(- 3) (2)

\frac{2}{9} \cdot 4

What is 7/(2sqrt(3)-\sqrt{2)} ?
The solution to 7/(2sqrt(3)-\sqrt{2)} is (14sqrt(3)+7sqrt(2))/(10)